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Finding the Fourth Proportional to 718.27, 991.21 and 407.77

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Solution

The fourth proportional to 718.27, 991.21 and 407.77 is: 562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.27 : 991.21 = 407.77 : x
  2. Step 2: Convert to fraction form
    718.27/991.21 = 407.77/x
  3. Step 3: Cross multiply
    718.27x = 991.21 × 407.77
  4. Step 4: Simplify right side
    718.27x = 404,180.35
  5. Step 5: Solve for x
    x = 404,180.35/718.27
  6. Step 6: Final answer
    x = 562.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.